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Finding the Fourth Proportional to 368,938.87, 509,136.69 and 213,920.20

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Solution

The fourth proportional to 368,938.87, 509,136.69 and 213,920.20 is: 295,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,938.87 : 509,136.69 = 213,920.20 : x
  2. Step 2: Convert to fraction form
    368,938.87/509,136.69 = 213,920.20/x
  3. Step 3: Cross multiply
    368,938.87x = 509,136.69 × 213,920.20
  4. Step 4: Simplify right side
    368,938.87x = 108,914,623,990.76
  5. Step 5: Solve for x
    x = 108,914,623,990.76/368,938.87
  6. Step 6: Final answer
    x = 295,210.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.